Noncommutative Geometry Seminar

Series: Noncommutative Geometry Seminar Series

Primary and secondary pairings for pseudodifferential symbols

Alexander Gorokhovsky, Department of Mathematics, University of Colorado, Boulder,

We compare different constructions of cyclic cocycles for the algebra of complete symbols of pseudodifferential operators and show that our comparison result leads to interesting index-theoretic consequences and a construction of invariants of the algebraic $K$-theory of the algebra of pseudodifferential symbols. This is a joint work with H. Moscovici.

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